11426713182720 has 1440 divisors, whose sum is σ = 46796231813760. Its totient is φ = 2648687247360.

The previous prime is 11426713182673. The next prime is 11426713182739. The reversal of 11426713182720 is 2728131762411.

It is a happy number.

11426713182720 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 67 + 1 + 318 + 272 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4249427136 + ... + 4249429824.

It is an arithmetic number, because the mean of its divisors is an integer number (32497383204).

Almost surely, 2^{11426713182720} is an apocalyptic number.

11426713182720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11426713182720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23398115906880).

11426713182720 is an abundant number, since it is smaller than the sum of its proper divisors (35369518631040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11426713182720 is an frugal number, since it uses more digits than its factorization.

11426713182720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2770 (or 2733 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 11426713182720 in words is "eleven trillion, four hundred twenty-six billion, seven hundred thirteen million, one hundred eighty-two thousand, seven hundred twenty".